Question: Please help me with this two part practice problem. Thanks!!!! 9. For each of the following homomorphisms, compute the indicated quantities. (a) (6 points) Let

Please help me with this two part practice problem. Thanks!!!!

9. For each of the following homomorphisms, compute the indicated quantities. (a) (6 points) Let o : Z - GL2(R) be the group homomorphism determined by $(1) = ( ; -? ) Determine ker($), the kernel of o, and compute d(8).(b) (6 points) Let y : Z x Z - Z be the group homomorphism determined by y((1, 0)) = 3 and y((0, 1)) = -2. Determine the ker(y), the kernel of y, and compute y((4, -5))

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